An unknown liquid compound has a density of 13.534g/L. If a room has the dimensions of 1.14 inches, 9.78 inches, and 9.59 inches, how many grams of the unknown compound can fit inside?

General, Organic, and Biological Chemistry
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Author:H. Stephen Stoker
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Chapter2: Measurements In Chemistry
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Problem 2.92EP: A sample of sand is found to have a mass of 12.0 g and to have a volume of 2.69 cm3. What is its...
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An unknown liquid compound has a density of 13.534g/L. If a room has the dimensions of 1.14 inches, 9.78 inches, and 9.59 inches, how many grams of the unknown compound can fit inside? 

Expert Solution
Step 1

Density of a substance is given by the expression:

Chemistry homework question answer, step 1, image 1

Step 2

Given the dimensions of the room, the volume of room:

Chemistry homework question answer, step 2, image 1

 

(because 1 inch = 2.54 cm)

Thus,

Volume of the room = 1752.118 cm3

Since, we have density in g/L, we must consider the volume in L units.

1 cm3 = 10-3 L

Thus, volume of room = 1752.118 X 10-3 L = 1.752 L

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